Combine water and sugar in a saucepan. Place dried lavender buds into a tea infuser and add to the mixture.
Heat the mixture until it starts to boil, about 10 minutes. Remove heat and set mixture aside to cool, about 30 minutes.
Juice the lemons. Strain or take out any seeds.
Combine lemon juice and cooled lavender mixture into a pitcher and stir well.
Serve in glasses filled with ice. For added extravagance: freeze lavender buds inside ice cubes and garnish with lavender sprigs and a lemon wheel.